Pure and Applied Mathematics
A Series of Monographs and Textbooks
Editors Paul A. Smith and Samuel Eilenberg
Columbia University. New York
RECENT TITLES
ERNST AUGUST BEHRENS. Ring Theory
MORRIS NEWMAN. Integral Matrices

GLEN E. BSEDON. Introduction to Compact Transformation Groups
WERNER GREUB, STEPHEN HALPERIN, AND RAY VAN STONE. Connections, Curvature, and
Cohomology: Volume I, De Rham Cohomology of Manifolds and Vector Bundles. Vol-
ume II, Lie Groups, Principal Bundles, and Characteristic Classes. In preparation:
Volume III, Cohomology of Principal Bundles and Homogeneous Spaces
XIA DAO-XING. Measure and Integration Theory of Infinite-Dimensional Spaces:
Abstract Harmonic Analysis

RONALD G. DOUGLAS. Banach Algebra Techniques in Operator Theory
WILLARD MILLER, JR. Symmetry Groups and Their Applications

ARTHUR A. SAGLE AND RALPH E. WALDE. Introduction to Lie Groups and Lie Algebras
T. BENNY RUSHING. Topological Embeddings

JAMES W, VICK. Homology Theory: An Introduction to Algebraic Topology
E. R. KOLCHIN. Differential Algebra and Algebraic Groups
GERALD J. JANUSZ. Algebraic Number Fields
A, S. B. HOLLAND, Introduction to the Theory of Entire Functions
WAYNE ROBERTS AND DALE VARBERG. Convex Functions

A. M, OSTROWSKI. Solution of Equations in Euclidean and Banach Spaces, Third Edition
of Solution of Equations and Systems of Equations
H. M. EDWARDS. Riemann's Zeta Function
SAMUEL EILENBERG. Automata, Languages, and Machines: Volume A

MORRIS HIRSCH AND STEPHEN SMALE. Differential Equations, Dynamical Systems, and
Linear Algebra

WILHELM MAGNUS. Noneuclidean Tesselations and Their Groups B 5
J. DIEUDONNE. Treatise on Analysis, Volume IV c 6
E 8
In preparation F 9
G 0
BRAYTON GRAY. Homotopy Theory: An Introduction to Algebraic Topology
H l
FRANCOIS TREVES. Basic Linear Partial Differential Equations j 3